Find the total proceeds $($in $$)$ from the sale of $20$ bonds with a coupon rate of $6\mathrm{.}25$ and a current price of $96\mathrm{.}775.($Round your answer to the nearest cent.$)$

The commission charge is $$4\mathrm{.}00$ per bond. The date of the transaction is $145$ days since the last interest payment.